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VERSION:2.0
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BEGIN:VEVENT
SUMMARY:Ergodicity and Entanglement: Bridging Random Matrix Theory and Man
 y-Body Quantum Systems
DTSTART:20241211T143000Z
DTEND:20241211T160000Z
DTSTAMP:20260906T140323Z
UID:082760bd-a801-4c72-9d79-9a0aa8eb27a0
SEQUENCE:2
CREATED:20241211T093033Z
DESCRIPTION:Thermalization is deeply connected to the notion of ergodicity
  in the Hilbert space\, implying an equipartition of the wave function ove
 r available many-body Fock states. Under unitary time evolution\, an initi
 ally structured state spreads in the Fock space\, approaching a Haar rando
 m state\, thereby highlighting a connection between many-body quantum syst
 ems and random matrix theory. In the first part of this talk\, I will disc
 uss the dynamics of the self-dual kicked Ising model\, a minimal model of 
 many-body quantum chaos that is unitary in both time and space. I will foc
 us on its dynamics in Fock space\, showing how the probability distributio
 n of the initial state approaches that of a random state (Porter-Thomas di
 stribution). In the second part\, I will explore some general relationship
 s between entanglement and the spread of the wave function in Fock space. 
 Remarkably\, I will demonstrate that entanglement entropies can still exhi
 bit fully ergodic behavior\, even though the wave function occupies only a
  vanishing fraction of the full Hilbert space in the thermodynamic limit.
LAST-MODIFIED:20241211T093143Z
LOCATION:Sala de Seminários do DF\,  Pavilhão de Física\, 2º piso
URL:http://df.vps.tecnico.ulisboa.pt/pt/eventos/ergodicity-and-entanglemen
 t-bridging-random-matrix-theory-and-many-body-quantum-systems/
X-ALT-DESC;FMTTYPE=text/html:<p data-block-key="cgat7">Thermalization is d
 eeply connected to the notion of ergodicity in the Hilbert space\, implyin
 g an equipartition of the wave function over available many-body Fock stat
 es. Under unitary time evolution\, an initially structured state spreads i
 n the Fock space\, approaching a Haar random state\, thereby highlighting 
 a connection between many-body quantum systems and random matrix theory.<b
 r/><br/> In the first part of this talk\, I will discuss the dynamics of t
 he self-dual kicked Ising model\, a minimal model of many-body quantum cha
 os that is unitary in both time and space. I will focus on its dynamics in
  Fock space\, showing how the probability distribution of the initial stat
 e approaches that of a random state (Porter-Thomas distribution).<br/><br/
 > In the second part\, I will explore some general relationships between e
 ntanglement and the spread of the wave function in Fock space. Remarkably\
 , I will demonstrate that entanglement entropies can still exhibit fully e
 rgodic behavior\, even though the wave function occupies only a vanishing 
 fraction of the full Hilbert space in the thermodynamic limit.</p>
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